US MTS July 2026 Deficit

Framing and exact resolver: this is the first-print U.S. Treasury Monthly Treasury Statement Table 1 monthly deficit/surplus for July 2026, not fiscal-year-to-date deficit, receipts, outlays, refunds, or a revised vintage. The table is in $ millions; the forecast is in usd_billions with deficits positive.

Resolution-date note: applying the official 8th-workday policy to July 2026 points to August 12, 2026, while the registered ledger window runs through 2026-08-17. I keep the target tied to the ledger resolution date of 2026-08-17 and would still resolve on the first official July 2026 print if it appears earlier.

Reference class/base rate: the same-variant July first-print monthly deficits for 2022-2025 were 211.052, 220.782, 243.741, and 291.143 usd_billions. The four-year mean is 241.6795, but the last two observations and higher nominal outlay level argue for anchoring closer to 2025 than to the full mean.

Prior/update/interval: persistence prior = July 2025 first-print deficit of 291.143; historical sample = July 2022-2025 first-print Table 1 monthly deficits of 211.052, 220.782, 243.741, 291.143; adjustment components = +18.961 from 40% of the 2024-to-2025 increase, -10.000 for continuing high customs/tariff receipts, +8.000 for higher benefit, health, defense, and interest outlays; point = 291.143 + 18.961 - 10.000 + 8.000 = 308.104. Interval method = sample standard deviation of the July deficit values themselves because this is a monthly flow and the target is a one-month level, while year-over-year changes would over-emphasize the short 2025 jump; sigma = 35.710, half-width = 1.28*sigma = 45.709, so 80% interval = 308.104 +/- 45.709 = 262.395 to 353.813.

Upside risk: the deficit would land above the interval if July outlays repeat another unusually large health, education, or interest timing surge while tariff receipts fade. Downside risk: it would land below the interval if customs receipts remain near or above the July 2025 surge and benefit or agency payments shift out of July. Outside the interval on either side would most likely come from payment-calendar timing rather than a smooth macro trend.

Review disposition: accepted the non-blocking suggestions by clarifying that the July 2022 value came from the comparable prior-year row in the July 2023 MTS and by explaining why the uncertainty calculation uses same-month flow levels rather than year-over-year changes; no required fixes were raised.

The target is the first official July 2026 MTS Table 1 monthly deficit print, not fiscal-year-to-date totals, receipts, outlays, or a revised historical value. Deficits are represented as positive usd_billions.

The base rate is the recent July reference class: deficits were $302.050 billion in 2021, $220.782 billion in 2023, $243.741 billion in 2024, and $291.143 billion in 2025. The modal forecast leans toward the latest two observations because nominal outlays and interest costs remain elevated.

The official Treasury MTS publication schedule and previous-issues record verify the target's August 17, 2026 resolution date; the series is Table 1 monthly Deficit/Surplus (-), with the first July 2026 print controlling.

Prior/update/interval: persistence prior from the July 2021, 2023, 2024, and 2025 official MTS observations; update components are recent July level, recurring July outlay timing, higher nominal interest and mandatory spending, and receipts uncertainty. For this flow series, sample sigma from the four fetched July values is approximately $38.6 billion, so the 80% half-width is 1.28*sigma = approximately $49.4 billion. I widen modestly to about $49 billion and round to whole billions, giving bounds of $242 billion to $340 billion around the $291 billion point.

Point estimate: $291 billion. Interval calculation: sigma = $38.6 billion; 1.28*sigma = $49.4 billion; rounded 80% interval = [$242 billion, $340 billion].

Upside risk is a large July outlay concentration or weaker-than-expected receipts, which would land above the interval. Downside risk is unusually strong receipts or delayed outlays, which would land below the interval. A major policy or accounting-timing shock would be outside the interval.

The target is Table 1, “Deficit/Surplus (-),” for the July 2026 monthly flow, not fiscal-year-to-date receipts or outlays. Table 1 reports $ millions; I convert to billions and reverse its presentation convention so a deficit is positive. The resolver is the original first print only.

The reference class is same-calendar-month Table 1 deficits: July 2022, 2023, 2024, and 2025 were $219.596bn, $220.782bn, $243.741bn, and $291.143bn respectively. This seasonally matched base rate is preferable to comparing July with April's tax-season surplus or the latest May flow.

Prior/update/interval: The persistence-plus-seasonal model uses the four July Table 1 values ($219.596bn, $220.782bn, $243.741bn, $291.143bn) as the historical sample; their mean is $243.816bn and sample sigma = $33.5bn. The unadjusted 80% half-width is 1.28*33.5 = $42.9bn. I update the point by about $36bn for the recent higher July level and the balance of higher nominal outlays versus stronger receipts, giving $280bn; the interval is $280bn ± $43bn = [$237bn, $323bn], with no additional regime widening.

The central adjustment is modest: recent July performance is above the four-year seasonal mean, while stronger customs and other receipts restrain the deficit relative to a pure outlay-trend extrapolation. The same NSA Table 1 monthly variant is used for every anchor.

upside risk: unexpectedly large benefit, interest, or payment-timing outlays would produce a larger deficit and could land above the interval. downside risk: exceptionally strong July receipts, including customs or tax payments, would reduce the deficit and could land below the interval.

The target is the first-print July 2026 monthly Table 1 Deficit/Surplus (-), not fiscal-year-to-date receipts, outlays, refunds, or a revised historical value. Treasury Table 1 reports $ millions; I convert its deficit sign convention to positive usd_billions by dividing by 1,000. The official release-calendar lookup identifies August 17, 2026 as the scheduled release for the July 2026 statement.

Base rate/reference class: recent first-print July Table 1 deficits were 220.779 billion in 2023, 243.741 billion in 2024, and 291.143 billion in 2025. This is a monthly cash-flow series, so the comparison uses July monthly values from the same Table 1 variant rather than seasonally adjusted series or fiscal-year-to-date totals.

Prior/update/interval: I use the 2021-25 July Table 1 deficit reference class (302.0, 211.0, 220.779, 243.741, 291.143 billion) with a level prior of 253.7 billion. For this flow series, sigma is the population standard deviation of the fetched July values: sigma = 36.7 billion; 1.28*sigma = 47.0 billion. I add about 41.3 billion for the recent higher July outlay level, partly offset by stronger customs-duty receipts, yielding 295.0 billion and an 80% interval of 248.0 to 342.0 billion; the half-width is 1.00x the dispersion-based half-width.

The central adjustment reflects the 2025 July deficit of 291.143 billion and elevated recurring outlays. Upside risk is a larger deficit if benefit, health, defense, or interest payments are accelerated into July; downside risk is unusually strong tax or customs collections. A payment-timing shift or a large receipt spike would land outside the interval.

The target is the original first-print July 2026 value in MTS Table 1, “Deficit/Surplus (-),” reported in $ millions and divided by 1,000; deficits are expressed as positive usd_billions here. The Table 1 monthly variant, rather than fiscal-year-to-date receipts, outlays, or a revised table, is the sole target.

The base rate/reference class is the same July Table 1 monthly deficit: 211.052, 220.782, 243.741, and 291.000 usd_billions for FY2022–FY2025. The FY2025 $291 billion reading is the most relevant persistence anchor, while the earlier same-month values retain July seasonality.

Prior/update/interval: The model is a same-month seasonal persistence prior using FY2022–FY2025 July Table 1 deficits [211.052, 220.782, 243.741, 291.000]. Their mean is 241.644 and sample sigma = 35.644 usd_billions; 1.28*sigma = 45.624. I update the FY2025 persistence anchor upward for higher interest/program outlays, partly offset by tariff and tax receipts, to 305.0; the resulting 80% bounds are 305.0 ± 45.6 = [259.4, 350.6].

point = 305.0 usd_billions; sigma = 35.644; 80% half-width = 1.28 × 35.644 = 45.624; ciLow = 305.0 - 45.624 = 259.376, rounded to 259.4; ciHigh = 305.0 + 45.624 = 350.624, rounded to 350.6.

Upside risk: a larger-than-assumed outlay acceleration or payment shift into July would land above the interval. Downside risk: stronger receipts, including tariff collections, or delayed outlays would land below the interval. A major one-off refund, benefit-payment, or accounting-timing shift is the principal outside the interval scenario.

Derived run: the pointwise median of the CDFs of 3 independent thesis.analyst fast rollouts on this target — median prediction sampling per Turtel et al. 2025 (arXiv:2505.17989). No new model call; this run is a deterministic aggregate of the recorded rollouts at 2026-07-10T15:39:07Z, 2026-07-10T15:43:21Z, 2026-07-10T15:47:25Z. Drivers and resolver fields mirror the rollout closest to the median.

Median CDF quantiles: q10 = 247.7, q50 = 295.0, q90 = 342.4. Constituent points [280, 295, 305] with 80% widths [86, 94, 91.2]; the median interval inherits the central rollout mass rather than averaging tails.

Framing and exact resolver: this is the U.S. Treasury Monthly Treasury Statement Table 1 monthly Deficit/Surplus (-), not fiscal-year-to-date deficit, receipts, outlays, refunds, or a revised historical table. The target is first print for July 2026, in $ millions divided by 1000 into usd_billions, with deficits reported positive.

Reference class and base rate: the same-month July deficits immediately before this target were about 221, 244, and 292.8 usd_billions. The base rate is a large July deficit near the high-200s, with a positive trend from debt service and entitlement COLA outlays partly offset by customs receipts.

Prior/update/interval: persistence prior and time-series model prior is July 2025 implied 292.8 from the same MTS monthly-deficit reference class; no separate fitted model was used because only same-month July observations were used. Historical sample is July deficits 221, 244, and 292.8, so sigma = 36.7 from the values themselves for this flow series; 1.28*sigma = 47.0. Adjustment components sum to about +26.3 from 292.8 to 319.1: +15 for underlying outlay and interest growth, +10 for tax-law/revenue softness, +0 to -10 for tariff/customs offset, and +0 to +10 for first-print timing noise. The ladder-implied 80% interval is 240 to 430, average half-width about 95, roughly 2.0 times 1.28*sigma; I widened beyond the raw three-July dispersion because the 2026 policy, tariff, debt-service, and appropriations regime is not well represented by only three same-month observations.

Ladder: P(X <= 200) = 0.04; P(X <= 230) = 0.08; P(X <= 250) = 0.12; P(X <= 270) = 0.20; P(X <= 290) = 0.32; P(X <= 310) = 0.45; P(X <= 330) = 0.56; P(X <= 350) = 0.66; P(X <= 370) = 0.74; P(X <= 400) = 0.83; P(X <= 430) = 0.90; P(X <= 470) = 0.96; P(X <= 520) = 0.99. Linear interpolation gives p10 = 240.0, p50 = 319.1, and p90 = 430.0 usd_billions.

Counter-considerations: upside risk for a larger deficit would be a weak July receipts print, faster net-interest accrual, or front-loaded benefit and defense outlays; a deficit above 430 would land above the interval. Downside risk would be another customs-revenue surge, delayed outlays, or unexpectedly strong nonwithheld tax receipts; a deficit below 240 would land outside the interval on the low side.

Review disposition: accepted the resolver cleanup by setting resolutionSourceUrl to the canonical FiscalData Monthly Treasury Statement dataset URL while keeping the table-specific FiscalData path as supporting context; accepted the model-prior clarification and the explicit +26.3 usd_billions update from the July 2025 persistence prior.

Framing and exact resolver: this is the U.S. Treasury FiscalData Monthly Treasury Statement Table 1 current-month Deficit/Surplus (-) for July 2026, first print only. The source table reports dollars in millions; this forecast reports usd_billions with deficits positive and surpluses negative.

Base rate/reference class: using the same Table 1 monthly deficit concept for July, the 2023-2025 July deficits were 221.8, 244.0, and 292.8 usd_billions. The base rate mean is 252.9 usd_billions, while the latest July anchor is 292.8 usd_billions.

Prior/update/interval: persistence prior is latest July deficit 292.8 from the 2023-2025 July historical sample, adjusted by +22 for higher net interest and benefit outlays, +15 for broader FY2026 deficit pressure, and -5 for tariff/customs revenue offset, giving 292.8 + 22 + 15 - 5 = 324.8, rounded to 325. For this flow series, size the 80% interval from realized dispersion of the July values themselves: sigma = sample sd(221.8, 244.0, 292.8) = 36.3, so 1.28*sigma = 46.5. I modestly widen to 53 because tariff timing, war-related spending, and first-print month-end payment timing add release-specific uncertainty; 325 +/- 53 gives 272 to 378.

Upside risk: a larger July deficit would land above the interval if defense/emergency outlays or interest payments jump sharply, refunds run high, or tariff collections disappoint. Downside risk: a deficit below the interval would require unusually strong non-withheld receipts, customs revenue materially above recent run-rate, or delayed benefit/vendor payments. A surplus or sub-200 usd_billions deficit would be outside the interval and would imply a July seasonal pattern unlike the recent reference class.

Framing and exact resolver: this targets the first official U.S. Treasury Monthly Treasury Statement Table 1 monthly Deficit/Surplus (-) for July 2026, not fiscal-year-to-date deficit, receipts alone, outlays alone, or later revised historical tables. The table reports $ millions; I convert to usd_billions and keep deficits positive. The ledger URL is the broader MTS dataset page, while the more specific stable Fiscal Data table page used here is the Summary of Receipts, Outlays, and Deficit/Surplus table. The official release-calendar contract for this run shows the July 2026 MTS first print on 2026-08-17.

Base rate/reference class: the same-variant July MTS Table 1 flow values from 2019-2025 average 207.4 usd_billions, but the post-2021 July values cluster much higher: 211.1, 220.8, 243.7, and 291.2. I put more weight on the latest July print because nominal outlays, interest costs, and the annual deficit level are materially above the 2019-2020 regime.

Prior/update/interval: persistence prior is 2025-07 first-print deficit of 291.2. Historical sample is July MTS Table 1 monthly deficits for 2019-2025: 119.7, 63.0, 302.0, 211.1, 220.8, 243.7, 291.2. Adjustment components are +20.0 for structural outlay and net-interest drift, -10.0 for elevated customs/tariff receipts, +15.0 for defense/emergency/policy spending pressure, and +8.0 for ordinary July payment-timing skew, giving point = 291.2 + 20.0 - 10.0 + 15.0 + 8.0 = 324.2. For this flow series, sigma = 86.8 from the fetched July values themselves, so the 80 percent half-width is about 1.28*sigma = 111.1; interval = 324.2 +/- 111.1 = [213.1, 435.3].

Counter-considerations: upside risk is a larger deficit if July benefit, defense, disaster, or interest outlays bunch into the month while tariff receipts fade, which would land above the interval if the deficit exceeds 435.3. Downside risk is stronger-than-expected withheld/income/customs receipts or delayed spending, which would land below the interval if the deficit is under 213.1. A shutdown-style or debt-management timing distortion is the main outside the interval scenario.

The target is the first official July 2026 print in MTS Table 1, monthly Deficit/Surplus (-), not fiscal-year-to-date results or financing. Table 1 reports millions of dollars; divide by 1000 and reverse its sign convention so deficits are positive. The resolver allows no correction grace period.

The reference class is the four same-month July observations for 2022-2025: 211.052, 220.782, 243.741, and 291.143 billion. Their base-rate mean is 241.680 billion, while persistence favors the latest observation because the nominal series has risen in each sampled year.

The center uses a persistence prior rather than unsupported component adjustments. Mandatory, interest, and defense outlays create upward pressure, while customs and tax receipts create downward pressure. No calendar adjustment is applied because a payment-date shift was not independently verified.

Prior/update/interval: persistence model prior = 291.143 billion from July 2025; historical sample = July 2022-2025; adjustment components = no quantified net update because current component measurements and a calendar shift were not verified, so the ladder median is 290. Persistence errors proxied by the three realized year-over-year changes are 9.730, 22.959, and 47.402; sigma = RMSE = sqrt((9.730^2 + 22.959^2 + 47.402^2)/3) = 30.92 billion, and 1.28*sigma = 39.58 billion. Multiplying that half-width by 1.50 for the sparse three-error sample and unresolved payment-timing and policy regime risk gives 59.37 billion. Applied around the approximately 290.6 ladder center, this produces about 231.25 to 350.00; the ladder-implied average half-width is 59.38 billion, essentially equal to the scenario calculation.

Ladder: P(X <= 200) = 0.03; P(X <= 220) = 0.07; P(X <= 235) = 0.11; P(X <= 250) = 0.18; P(X <= 265) = 0.28; P(X <= 280) = 0.42; P(X <= 290) = 0.50; P(X <= 300) = 0.59; P(X <= 315) = 0.70; P(X <= 330) = 0.80; P(X <= 350) = 0.90; P(X <= 375) = 0.96; P(X <= 400) = 0.98. Linear interpolation gives the median 290, the 10th percentile 231.25, and the 90th percentile 350.

Upside risk comes from benefit-payment timing, unexpectedly high interest or defense outlays, or weak receipts; a shock exceeding roughly 60 billion relative to the center would land above the interval. Downside risk comes from stronger customs or income-tax receipts and shifted outlays; a favorable combination exceeding roughly 59 billion would land below the interval.

Review disposition: Accepted the interval critique by replacing dispersion of trending levels with realized persistence errors and an explicit sparse-sample scenario multiplier. Accepted the adjustment critique by removing unsupported +15 and -16 component updates. The optional calendar claim was not added because no independent calendar check was available.

The target is the first-print, nominal, not-seasonally-adjusted total monthly deficit in Treasury MTS Table 1—not fiscal-year-to-date deficit, on-budget deficit, receipts, or outlays. Table 1 reports millions of dollars; I divide by 1000 and reverse the table's deficit sign so deficits are positive. Treasury's official schedule identifies August 17, 2026 as the release date; no later correction or revision is admissible.

The base rate is the seven-observation July 2019–2025 reference class, averaging $207.351 billion. The level signal from July 2024–2025 is higher, but FY2026 momentum is better because revenue growth has exceeded outlay growth. Higher customs duties are a downside risk to the deficit, while mandatory spending and net-interest growth are an upside risk. Unusually large payment shifts or a sharp receipts surprise would land outside the interval.

Prior/update/interval: The model is a same-month persistence prior using July 2019–2025. Historical mean = (119.696 + 62.990 + 302.050 + 211.052 + 220.782 + 243.741 + 291.143) / 7 = 207.351. I update toward the recent 2024–2025 average of 267.442, then apply a modest downward adjustment for FY2026 revenue strength and lower year-to-date deficit, yielding 260. For this flow series, dispersion is calculated from the values themselves: sample sigma = 87.589. The 80% half-width is roughly 1.28*sigma = 1.28*87.589 = 112.114, giving 260 - 112 = 148 and 260 + 112 = 372 billion after rounding.

The resolver is the first official July 2026 MTS Table 1 monthly Deficit/Surplus (-), a not-seasonally-adjusted nominal flow. Table 1 reports $ millions; I divide by 1000 and reverse the published surplus/deficit sign so deficits are positive.

The base rate is the seven-year July reference class: its mean deficit is $207.351 billion, while the three most recent Julys rose from $220.782 billion to $243.741 billion and $291.143 billion. I emphasize the recent same-month observations because fiscal scale and interest costs have risen.

Level, momentum, one-off, and policy mechanisms point in different directions: the $291.143bn July 2025 level and rising nominal outlays support a large deficit; the roughly $9.952bn improvement in the January-May comparison supports a small downward adjustment; higher interest and benefit costs push upward, while receipt growth and tariff revenue push downward.

Prior/update/interval: The persistence prior is July 2025's $291.143bn deficit, checked against the 2019-2025 July sample. Adjustments are -$10bn for the improved comparable FY run rate, +$8bn for nominal outlay, benefit, and interest growth, and approximately $0bn net for uncertain receipt, tariff, and payment-timing effects, yielding $289bn. Because this is a flow series, dispersion uses the July values themselves: sample sigma = $87.588bn. The normal 80% half-width is 1.28 × 87.588 = $112.113bn, so $289bn ± $112bn gives rounded bounds of $177bn to $401bn.

Upside risk to the positive-deficit forecast comes from accelerated outlays, unusually high interest payments, or receipts shifted out of July; a deficit above $401bn would land outside the interval. Downside risk comes from stronger income, corporate, or tariff receipts and payments shifted into other months; a deficit below $177bn, including an unlikely surplus, would land outside the interval.

The target is the first-print, nominal, not-seasonally-adjusted monthly Deficit/Surplus (-) in MTS Table 1—not fiscal-year-to-date results, receipts, outlays, or the public-debt statement. The official schedule attached to the target sets release/resolution for 2026-08-17; the Fiscal Service MTS page states that the report covers receipts, outlays, and surplus or deficit. Values are converted from $ millions to USD billions with the ledger sign convention.

The reference class is July monthly flows: the five 2021-2025 deficits are 302.050, 211.052, 220.782, 243.741, and approximately 291.0 billion dollars. Their mean is 253.725 billion, while the recent two-year average is about 267.4 billion. July has historically been overwhelmingly a deficit month.

Level and momentum: the 2025 deficit rose to about $291 billion as outlays reached roughly $630 billion despite about $338 billion of receipts. Structural growth in mandatory programs and debt-service costs points above the five-year mean. Policy mechanism: elevated customs receipts work in the opposite direction, while recently enacted tax and spending provisions create net upward uncertainty for the deficit.

Prior/update/interval: The model is a same-month persistence prior using the five official July 2021-2025 observations. Historical mean = (302.050 + 211.052 + 220.782 + 243.741 + 291.000)/5 = 253.725. Starting from the more relevant July 2025 level of 291.0, apply +19.0 for nominal and mandatory/interest outlay growth, -15.0 for stronger customs and other receipt growth, and +5.0 for policy and composition effects, yielding 300.0 after rounding. Because this is a flow series, dispersion is computed from the values themselves: sample sigma = sqrt(sum((x-253.725)^2)/4) = 41.0. The 80% half-width is 1.28*sigma = 1.28*41.0 = 52.5, so bounds are 300.0 - 52.5 = 247.5 and 300.0 + 52.5 = 352.5.

Counter-considerations: upside risk means a larger positive deficit from payment accelerations, unusually high interest or benefit outlays, or weaker income-tax receipts; a deficit above $352.5 billion would land outside the interval. Downside risk comes from exceptionally strong customs or income-tax receipts, delayed payments, or unusually weak outlays; a deficit below $247.5 billion—or a surplus—would land outside the interval.

Derived run: the pointwise median of the CDFs of 3 independent thesis.analyst fast rollouts on this target — median prediction sampling per Turtel et al. 2025 (arXiv:2505.17989). No new model call; this run is a deterministic aggregate of the recorded rollouts at 2026-07-10T17:20:49Z, 2026-07-10T17:26:15Z, 2026-07-10T17:31:59Z. Drivers and resolver fields mirror the rollout closest to the median.

Median CDF quantiles: q10 = 176.1, q50 = 289.0, q90 = 372.9. Constituent points [260, 289, 300.0] with 80% widths [224, 224, 105.0]; the median interval inherits the central rollout mass rather than averaging tails.

Framing: the resolver is the first-print U.S. Treasury Monthly Treasury Statement Table 1 monthly Deficit/Surplus (-) for July 2026, in the same monthly, not fiscal-year-to-date, nominal cash-budget variant. The official release calendar identifies the July 2026 MTS release date as 2026-08-17, and the target uses the first print with no later revisions.

Reference class/base rate: recent official July MTS prints put the normal range near the low-$200 billions through low-$300 billions, with 2025 at 291.0 and 2021 at 302.1 showing that a July deficit around or above $300 billion is plausible without a crisis, while 2022-2024 anchor the lower-to-middle band.

Prior/update/interval: I start from a persistence prior centered between the recent July sample median and the latest July print, using the fetched July 2022-2025 values of 211.1, 220.8, 244.0, and 291.0 plus the 2021 high of 302.1 to anchor the rung span. I adjust about -35 billion from the July 2025 print for stronger tariff/customs receipts and partial mean reversion from the 20% year-over-year 2025 jump, then add back about +14 billion for higher interest, mandatory outlays, defense, and enacted tax-policy deficit pressure, for a net update near -21 billion to a 270.0 median. The interval method is the threshold ladder below, and the 156.9 billion 80% width reflects recent July dispersion plus monthly cash-timing uncertainty rather than a narrow trend extrapolation, yielding final implied 80% bounds of 201.1 to 358.0.

Upside risk for the deficit is a July outlay bulge from interest, defense, Medicare, or benefit timing that pushes the print toward the 330-370 range. Downside risk is customs receipts and delayed outlays holding the deficit near 200-230. A major calendar shift or unusually large one-off payment would land outside the interval, above 358.0 if outlays bunch heavily or below 201.1 if receipts are unusually strong and payments slip.

Ladder: P(X <= 170) = 0.04; P(X <= 190) = 0.075; P(X <= 210) = 0.12; P(X <= 230) = 0.20; P(X <= 250) = 0.34; P(X <= 270) = 0.50; P(X <= 290) = 0.64; P(X <= 310) = 0.74; P(X <= 330) = 0.82; P(X <= 350) = 0.88; P(X <= 370) = 0.93; P(X <= 400) = 0.97. Linear interpolation gives 10th percentile at 201.1, median at 270.0, and 90th percentile at 358.0.

Published values are derived from the ladder only: pointEstimate = median = 270.0 usd_billions; ciLow = 10th percentile = 201.1 usd_billions; ciHigh = 90th percentile = 358.0 usd_billions.

Review disposition: accepted the resolver correction by restoring the ledger rule without forecast-rounding language, accepted a compact quantified net update from July 2025 to the median, accepted a clearer interval-width rationale tied to recent July dispersion and cash-timing risk, and added the 2021 July value to historicalContext.

The target is the first-print July 2026 monthly Deficit/Surplus (-) in MTS Table 1, not the fiscal-year-to-date balance. Table 1 is denominated in $ millions; I divide by 1000 and reverse the table's sign convention so deficits are positive. Later revisions are excluded.

The reference class base rate is the three most recent same-month first prints: $220.782B, $243.741B, and $291.143B. A documented recency-weighted persistence model with weights 0.20, 0.30, and 0.50 gives a pre-update prior of 0.20×220.782 + 0.30×243.741 + 0.50×291.143 = $262.850B.

Prior/update/interval: The model prior is $262.850B from the fetched July 2023–2025 sample. I add $28.144B for continuation of the observed July trend, equal to 80% of the fitted three-observation annual slope of $35.181B; add $18.000B because May 2026 outlays of $628.161B remained near July 2025's $629.635B despite July's weaker seasonal receipts; and subtract $3.539B to temper extrapolation for the rise in July receipts through 2025. These adjustments sum to +$42.605B and produce $305.455B. The elicited ladder gives final implied 80% bounds of $210.000B to $400.000B. Its roughly $95B half-width exceeds the historical July range of $70.361B and twice the latest $47.402B year-over-year increase, allowing for payment-timing uncertainty beyond the small reference sample.

Ladder: P(X <= 170) = 0.05; P(X <= 200) = 0.08; P(X <= 220) = 0.12; P(X <= 240) = 0.18; P(X <= 260) = 0.26; P(X <= 280) = 0.36; P(X <= 300) = 0.47; P(X <= 320) = 0.58; P(X <= 340) = 0.68; P(X <= 360) = 0.77; P(X <= 380) = 0.84; P(X <= 400) = 0.90; P(X <= 430) = 0.95. Linear interpolation gives the 10th percentile at 210.000, median at 305.455, and 90th percentile at 400.000 usd_billions.

Upside risk to the deficit comes from accelerated benefit or defense payments, weaker individual-income-tax receipts, larger refunds, or unusually high interest outlays; a combined net deterioration exceeding about $95B from the median would land above the interval at more than $400B. Downside risk comes from strong withheld taxes, customs receipts, delayed payments, or unusually large offsetting receipts; a favorable timing shift exceeding about $95B would land below the interval at less than $210B.

Review disposition: Accepted the model-prior, quantified-update, and interval-grounding critiques by documenting the weighted persistence prior, adjustment arithmetic, and historical scale behind the elicited ladder. Exact report-row citations were not added beyond the official dataset and reports already used.

The resolver is the first official July 2026 MTS Table 1 print: monthly Deficit/Surplus (-), in $ millions divided by 1,000, with deficits positive. This is the unadjusted monthly Table 1 variant, not fiscal-year-to-date receipts, outlays, financing, or a revised historical value. Treasury's official MTS release calendar was checked for the August 17, 2026 release date.

Reference class/base rate: the complete July-only Table 1 sample for 2021-2025 is $302.050 billion, $211.000 billion, $220.782 billion, $243.741 billion, and $291.134 billion. Its mean is $253.741 billion; this is the outside-view base rate for the same unadjusted monthly deficit concept.

Prior/update/interval: I use the equal-weight 2021-2025 July-only Table 1 persistence prior, mean $253.741 billion, rounded through the ladder to a $255 billion median. I apply no unsupported current-month update: the earlier non-comparable May balance and non-official mirror are excluded. The interval method starts with the fetched July sample's $211.000-$302.050 billion range, then assigns tail mass below and above that range for month-specific benefit, interest, refund, and agency-payment timing; this yields ladder-derived $190 billion and $350 billion 10th/90th bounds rather than a default band.

Ladder: P(X <= 150) = 0.03; P(X <= 180) = 0.07; P(X <= 200) = 0.14; P(X <= 210) = 0.20; P(X <= 225) = 0.30; P(X <= 240) = 0.40; P(X <= 255) = 0.50; P(X <= 270) = 0.62; P(X <= 290) = 0.73; P(X <= 315) = 0.83; P(X <= 350) = 0.90; P(X <= 390) = 0.96; P(X <= 440) = 0.99. Linear interpolation gives 10th percentile at 190, median at 255, and 90th percentile at 350, all in usd_billions.

Upside risk is unusually large benefit, interest, refund, or agency-payment timing that lifts the deficit above $350 billion. Downside risk is unusually strong receipts or delayed outlays that reduce it below $190 billion. An exceptional payment-timing or receipt event would land outside the interval.

Review disposition: accepted removal of the non-official, non-comparable May update; accepted inclusion of July 2022; accepted an explicit historical-sample-plus-payment-timing interval method and official-source-only context.

The target is the first official July 2026 Monthly Treasury Statement print, Table 1, monthly Deficit/Surplus (-), expressed in usd_billions with deficits positive. The canonical ledger contract gives resolutionDate 2026-08-17, and the target is the gross, non-seasonally-adjusted monthly amount rather than fiscal-year-to-date totals or a revised historical value.

July is typically a deficit month because large benefit, interest, and other federal outlays continue while receipts are less concentrated than in April and June. Monthly cash-flow timing can nevertheless dominate the signal, as shown by the latest five-month sequence ranging from a $215.024 billion surplus to a $307.501 billion deficit.

The base rate is the July 2023-2025 reference class of 220.782, 243.741, and approximately 291 usd_billions, with a simple center near 252. The latest sequence supports an upward update: persistent interest and entitlement outlays contribute approximately +18 billion, the recent deficit-heavy run-rate contributes approximately +16 billion, and July timing uncertainty contributes approximately +10 billion, producing a roughly +44 billion judgmental adjustment from 252 to 296.

Prior/update/interval: The persistence prior is approximately 252 usd_billions from the three fetched July observations. The approximately +44 billion update reflects +18 billion for persistent interest and benefit outlays, +16 billion for the recent February-May deficit pattern, and +10 billion for July cash-flow timing. The 80% ladder is calibrated to include the fetched July span of 220.782-291, the broader latest-month swing of -215.024 to 307.501, and additional first-print timing and receipt uncertainty; the fetched July values anchor the central rungs while the broader monthly swing supports the 200-400 outer span.

Ladder: P(X <= 200) = 0.06; P(X <= 220) = 0.12; P(X <= 240) = 0.22; P(X <= 260) = 0.32; P(X <= 280) = 0.42; P(X <= 300) = 0.52; P(X <= 320) = 0.62; P(X <= 340) = 0.72; P(X <= 360) = 0.82; P(X <= 380) = 0.90; P(X <= 400) = 0.95. Linear interpolation gives 10th percentile at 213.3, rounded to 213; median at 296; 90th percentile at 380.

Downside risk would be a receipt-heavy July, including unusually early tariff or other cash receipts, combined with benefit payments landing outside the month, pushing the deficit below 213 billion. Upside risk would be concentrated interest or benefit payments and weaker-than-expected receipts arriving in July, pushing the deficit above 380 billion. A major one-off fiscal transaction or exceptional payment-timing shift would land outside the interval.

Review disposition: Accepted the requests for explicit interval calibration, quantified prior-to-update adjustments, and concrete receipt, benefit-payment, and interest-outlay tail mechanisms. Retained the canonical first-print resolver and clarified that FRED is only a history mirror.